Assuming bond face value to be $1,000
Interest rate on the bond
= Annual coupon / Face value x 100
= $75.95 / $1,000 x 100
= 7.60%
After tax cost of debt
= Interest rate x (1 – tax rate)
= 7.60 x (1 – 0.25)
= 5.70%
Weight of bond in the portfolio
= Total weight – Weight of equity – Weight of preferred stock
= 100 – 59 – 12
= 29%
Cost of equity and weight of equity are 14.55% and 59%
Cost of preferred stock and weight are 11% and 12%
So, weight average cost of capital
= Sum of product of respective weights with respective costs
= Weight of debt x Cost of debt + Weight of equity x Cost of equity + Weight of preferred stock x Cost of preferred stock
= 0.29 x 5.70 + 0.59 x 14.55 + 0.12 x 11
= 1.65 + 8.58 + 1.32
= 11.55%
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